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# If x and y are non negative integers, what is the value of x + y?

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Director
Joined: 07 Mar 2019
Posts: 595
Location: India
GMAT 1: 580 Q43 V27
WE: Sales (Energy and Utilities)
If x and y are non negative integers, what is the value of x + y?  [#permalink]

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10 Dec 2019, 21:20
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55% (hard)

Question Stats:

61% (01:30) correct 39% (01:24) wrong based on 28 sessions

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If x and y are non negative integers, what is the value of x + y?

1. $$x^4$$ is even, where x is a prime number
2. $$x^y$$ is odd.

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Ephemeral Epiphany..!

GMATPREP1 590(Q48,V23) March 6, 2019
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Senior Manager
Joined: 28 Feb 2014
Posts: 279
Location: India
GMAT 1: 570 Q49 V20
GPA: 3.97
WE: Engineering (Education)
Re: If x and y are non negative integers, what is the value of x + y?  [#permalink]

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10 Dec 2019, 21:32
lnm87 wrote:
If x and y are non negative integers, what is the value of x + y?

1. $$x^4$$ is even, where x is a prime number
2. $$x^y$$ is odd.

(1) x = 2, y is unknown. Insufficient

(2) x and y unknown. Insufficient

(1)+(2) only possibility x=2, y=0; Sufficient

C is correct
Senior Manager
Joined: 16 Feb 2015
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Concentration: Finance, Operations
Re: If x and y are non negative integers, what is the value of x + y?  [#permalink]

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10 Dec 2019, 22:28
lnm87 wrote:
If x and y are non negative integers, what is the value of x + y?

1. $$x^4$$ is even, where x is a prime number
2. $$x^y$$ is odd.

Explanation:
Find X+Y=?

St1: x^4 is even, & x is prime
so 2 is the only even prime. So x=2
but nothing about y So In sufficient

St2: x^y
no details about x & y

Combined: we know x is even i.e. 2, & only it can be odd when y=0
x+y=2+0= 2
IMO-C
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Joined: 13 Feb 2018
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Re: If x and y are non negative integers, what is the value of x + y?  [#permalink]

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11 Dec 2019, 01:40
1 stm -- tells us that x=2, nothing about y. Insufficient
2 stm -- infinite number of x and y combinations. INsufficient

together: x is 2 and 2 powered by y is odd, the only case we have got is y=0; Sufficient

IMO
Ans: C
Re: If x and y are non negative integers, what is the value of x + y?   [#permalink] 11 Dec 2019, 01:40
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